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Finding the Fourth Proportional to 9,856.69, 14,787.46 and 2,931.19

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Solution

The fourth proportional to 9,856.69, 14,787.46 and 2,931.19 is: 4,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.69 : 14,787.46 = 2,931.19 : x
  2. Step 2: Convert to fraction form
    9,856.69/14,787.46 = 2,931.19/x
  3. Step 3: Cross multiply
    9,856.69x = 14,787.46 × 2,931.19
  4. Step 4: Simplify right side
    9,856.69x = 43,344,821.57
  5. Step 5: Solve for x
    x = 43,344,821.57/9,856.69
  6. Step 6: Final answer
    x = 4,397.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.